a) The strike of a particular straddle is halfway between the two strikes of a particular strangle. What trading position is created from a short position in that strangle and a long position in that straddle of the same time to maturity?

b) An investor thinks that there will be a big jump in a stock price but is uncertain as to the direction. Identify six different strategies the investor can follow and explain the differences among them.

ANSWER

a)

short position of strangle

it means that investor is looking for position that is not going to be volatile and staying at the side lines . suppose a stock is trading at 100 and you sold OTM call at 110 and OTM put of 90 therefore if the price tends to remain between 90 and 110 , an investor eat the whole premium and enjoy profits

long position of straddle

it means investor is going to be volatile and atleast going to close above or below the current market price.

suppose stock is trading at 100 and he buys the ATM Call and Put at 100 and if the price rises to 110 he will be at profit and if the price stays at 90 he will at profit as well

clubbing both startegies is good , investor should hope either market remains volatile or remains flat .

b)

Consider the following explanation.

Explanation:

The six different strategies (spreads or combinations) the investor can follow:

1)short Butterfly spread: it’s a spread with selling one call option with the lowest strike price(XL),purchasing two call options with the medium strike price(XM) and selling one call option with the highest strike price (XH) , XL<XM<XH. The strike price (XM) is generally chosen such that its equal to the stock price and options are of same maturity. The strategy shall generate the net income from the selling of calls when the stock price deviated from the strike price XM due to the high volatility. A high jump either way guarantees a net income.

2) The Straddle combination with long one put and long 1 call with the same strike price X and maturity. Its payoff depends on the deviation of the strike price if the big jump either way is expected then either the put or the call expires in the money so that the moneyness(payoffs) covers all the premiums paid for the call and put and there are profits. The high jump either way guarantees a big payoff from either the put or the call.

3)In the Strangle combination there is one long call with strike price (Xc) and one long put with strike price Xp,this combination is cheaper to generate due to purchase of OTM(out of the money) options. If the big jump either way is expected then either the put or the call expires in the money so that the moneyness (payoffs) covers all the premiums paid for the call and put and there are profits. The high jump either way guarantees a big payoff from either the put or the call. It’s easier to cover all the lesser premiums paid for the call and put and generate profits with a big move.

4) The Strip combination consists of 1 call+2 put with same exercise price and maturity. If the big jump either way is expected then either the two put or the call expires in the money so that the moneyness covers all the premiums paid for the call and put and there are profits. The payoff generated by the 2 puts is much more when the stock moves downwards as compared to when the stock moves upwards. Investor is sure of the uncertain directional big jump but thinks that the probability of downward move is greater than the upward move.

5) The Strap combination consists of 2 calls+1 put with same exercise price and maturity. If the big jump either way is expected then either the 1 put or the 2 calls expires in the money so that the moneyness covers all the premiums paid for the call and put and there are profits. The payoff generated by the 2 calls is much more when the stock moves upwards as compared to when the stock moves downwards. Investor is sure of the uncertain directional big jump but thinks that the probability of upward move is greater than the downward move.

6) Short Calendar spread: short shorter term call and at the same time short longer term call therefore the income is generated by the big move from the premiums of the calls and differences in the maturity.